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102010122120 = 23351097798939
BaseRepresentation
bin101111100000001000…
…1101110111110001000
3100202022021001010102010
41133000101232332020
53132404042401440
6114510210535520
710240622505564
oct1370021567610
9322267033363
10102010122120
113a298066655
121792ab975a0
1398090bc10a
144d19dd26a4
1529c094b580
hex17c046ef88

102010122120 has 64 divisors (see below), whose sum is σ = 308838024000. Its totient is φ = 26953129728.

The previous prime is 102010122113. The next prime is 102010122161. The reversal of 102010122120 is 21221010201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102010122096 and 102010122105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3886390 + ... + 3912549.

It is an arithmetic number, because the mean of its divisors is an integer number (4825594125).

Almost surely, 2102010122120 is an apocalyptic number.

102010122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010122120 is an abundant number, since it is smaller than the sum of its proper divisors (206827901880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102010122120 is a wasteful number, since it uses less digits than its factorization.

102010122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7799062 (or 7799058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102010122120 its reverse (21221010201), we get a palindrome (123231132321).

The spelling of 102010122120 in words is "one hundred two billion, ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 13080 7798939 15597878 23396817 31195756 38994695 46793634 62391512 77989390 93587268 116984085 155978780 187174536 233968170 311957560 467936340 850084351 935872680 1700168702 2550253053 3400337404 4250421755 5100506106 6800674808 8500843510 10201012212 12751265265 17001687020 20402024424 25502530530 34003374040 51005061060 102010122120